The Drinfeld stratification for $${{\,\mathrm{GL}\,}}_n$$ GL n
Abstract We define a stratification of Deligne-Lusztig varieties and their parahoric analogues which we call the Drinfeld stratification. In the setting of inner forms of $${{\,\mathrm{GL}\,}}_n$$ GL n , we study the cohomology of these strata and give a complete description of the unique closed str...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Springer International Publishing,
2021-11-01T14:33:44Z.
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| Subjects: | |
| Online Access: | Get fulltext |
| Summary: | Abstract We define a stratification of Deligne-Lusztig varieties and their parahoric analogues which we call the Drinfeld stratification. In the setting of inner forms of $${{\,\mathrm{GL}\,}}_n$$ GL n , we study the cohomology of these strata and give a complete description of the unique closed stratum. We state precise conjectures on the representation-theoretic behavior of the stratification. We expect this stratification to play a central role in the investigation of geometric constructions of representations of p-adic groups. |
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